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Periodic perturbations of a nonlinear oscillator

Periodic perturbations of a nonlinear oscillator We study small time-periodic perturbations of an oscillator with a power-law odd restoring force with exponent exceeding unity. We study two problems, one on the stability of the equilibrium and the other on the bifurcation of an invariant two-dimensional torus from the equilibrium. We construct a focal quantity and a bifurcation equation that find the character of stability and branching of the equilibrium. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Periodic perturbations of a nonlinear oscillator

Bibikov, Yu.; Savel’eva, A.
Differential Equations , Volume 52 (4) – May 20, 2016
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References (8)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266116040017
Publisher site
See Article on Publisher Site

Abstract

We study small time-periodic perturbations of an oscillator with a power-law odd restoring force with exponent exceeding unity. We study two problems, one on the stability of the equilibrium and the other on the bifurcation of an invariant two-dimensional torus from the equilibrium. We construct a focal quantity and a bifurcation equation that find the character of stability and branching of the equilibrium.

Journal

Differential Equations – Springer Journals

Published: May 20, 2016

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